Finding the Fourth Proportional to 2,002.07, 2,762.82 and 1,205.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.07 : 2,762.82 = 1,205.39 : x
2. Step 2: Convert to fraction form
   2,002.07/2,762.82 = 1,205.39/x
3. Step 3: Cross multiply
   2,002.07x = 2,762.82 × 1,205.39
4. Step 4: Simplify right side
   2,002.07x = 3,330,275.60
5. Step 5: Solve for x
   x = 3,330,275.60/2,002.07
6. Step 6: Final answer
   x = 1,663.42